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Illusion [34]
3 years ago
10

Identify the graph that correctly represents the inequality |x + 1| + 2 >  5.

Mathematics
2 answers:
svetlana [45]3 years ago
9 0

Answer: D. The last graph

Step-by-step explanation:

NeTakaya3 years ago
8 0
|x+1|\ \textgreater \ 3

The greater than 3 means that the graph will have a shaded region for when the absolute value of (x+1) is greater than 3.

The absolute value means that we are interested in the magnitude of x+1. That means that the the graph will be shaded where x+1 > 3, and where -x-1 > 3

If we solve both of these for x, we get:

x > 2 and x < -4

So the graph will look like the attached picture. Notice that the vertical lines are dotted rather than solid. This means that we are dealing with a greater than sign, not a greater than or equal to.

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Step-by-step explanation:

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OK. 

Let's say a member and a non member each visit the garden ' V ' times.

The non-member's cost for each visit is  $6 .
The non member's cost for ' V ' visits is  6 V .
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His total cost for the year is  3V  +  the  $24 to join.

We want to know what ' V ' is  (how many times each one can visit)
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So let's just write an equation that SAYS their costs are the same,
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Divide each side by  3 :                       V  =              8  .

-- If they both visit the garden 1, 2, 3, 4, 5, 6, or 7 times in the year,
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-- If they both visit the garden 8 times in the year,
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After how many visits does the $3 more each time add up to the $24 that
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           $24 / $3  =  8 visits  .
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